Unveiling the Physical Basis of Fock Space Dynamics for Chemists

[Prabaldehyde]

Hello, I am a chemist and have been working on chemical dynamics. Recently I have started working on some many body interactions. Therein I have found some ideas about Fock Space, Fock Matrix, Fock Space Coherences. These are extensively used to provide characteristic information in static/dynamic/coupled systems.

1.What I want to understand is the physical basis of these terms. Although I have a fair bit of idea on its mathematical weightage, I am not able to get its physical significance.
2.Also I need to know how do You perceive the transfer of a state from a Hilbert Space to a Fock Space.
3. How do we know whether the atom/molecule/complex is in the Fock Space.
4. What factors or grounds do we consider before attempting to solve a system by taking it into the Fock Space.
5. If you can prescribe me any book where I can get a hold of these, I will be even more grateful.



I've gone through lecture notes by C. Nayak, Demler, Dinsmore. But still am not clear. I would really appreciate if you help me out. A chemist shifting to Physics is really proving difficult.

 

[member 553083]

1. The physical basis of these terms is that they represent a quantum description of a physical system. The Fock space describes the possible states of a many-particle system, while the Fock matrix describes the probability of transitions between these states. The Fock space coherences are correlations between different states in the system that arise from interactions between the particles. 2. To transfer a state from a Hilbert space to a Fock space, one must first construct a Hamiltonian for the system that includes all the relevant interactions between the particles. This Hamiltonian can then be used to calculate the energy eigenvalues and corresponding eigenstates of the system. These eigenstates are the basis for the Fock space, which can be used to describe the evolution of the system.3. One can determine if an atom/molecule/complex is in the Fock space by checking if the energy eigenvalues and corresponding eigenstates correspond to those of the system. 4. Before attempting to solve a system by taking it into the Fock Space, one must consider factors such as the number of particles in the system, the types of interactions between the particles, and the temperature of the system. 5. A good reference for learning more about Fock space and its applications is the book Quantum Many-Body Systems by J.M. Ziman.